The restricted free agent forward signed a three-year, $46 million offer sheet with the Mavericks on Thursday, and the Rockets declined to match the deal Sunday night.

"Honestly, I was offended by the whole process," Parsons said to Yahoo Sports on Monday. "They publicly said that they were going out looking for a third star when I thought they had one right in front of them. I guess that's just how they viewed me as a player. I don't think I've scratched the surface of where I can be as a player and I think I'm ready for that role.

"You can't knock them for always trying to get better. (Houston general manager) Daryl Morey is very aggressive, is a genius, a great GM and I have nothing but respect for those guys. And they are looking to make their team better. That's what they were doing. I just thought I could be that guy that could do that."

After deciding not to match Parsons' deal, the Rockets will use a large chunk of their cap space -- attained by trading Omer Asik to the New Orleans Pelicans and Jeremy Lin to the Los Angeles Lakers -- to bring in small forward Trevor Ariza.

Houston did not pick up his 2014-15 option in an effort to clear cap space needed to lure a marquee free agent to the roster. The Rockets didn't meet with forward LeBron James but did host forward Carmelo Anthony and met with forward Chris Bosh's representatives.

A second-round pick out of Florida in 2011, Parsons produced per-game averages of 16.6 points, 5.5 rebounds and 4.0 assists last season.

The deal Parsons reached with Dallas contains a clause that would allow him to become a free agent after the 2015-16 season and an excessive trade kicker.

Morey called the contract one of the "most untradable" he ever saw.

The Mavericks will pair Parsons in the frontcourt with star forward Dirk Nowitzki and recently acquired center Tyson Chandler.

"The Mavericks are a smart organization," Morey told SportsTalk 790 AM in Houston. "They obviously wanted to get him. That structure of that (contract) is literally one of the most untradeable structures that I've ever seen. That's why it came down to a bet of Harden, Howard and Parsons being the final piece, because we would have had no ability to do anything after that. And Harden, Howard, Parsons could have been good enough. I think Parsons is a tremendous player and is going to keep getting better.

"The question is, is it better with that core or is it better with (Trevor) Ariza plus the hundreds of moves that might be able to upgrade us in the other scenario? And there's really no moving -- that core was going to be the core that we had to have, because if we ever wanted to move off and go after the other stars, if we ever wanted to go after a different core, it wasn't going to be possible. A small-market team that might want a Chandler, he can opt out and leave, so they wouldn't want him. A big-market team that's planning for free agency, maybe for the elite free agents coming up in the future, he can opt in.

"There's a trade bonus in there. Even if the cap is going to go up likely, we're just guessing likely significantly in the future, his trade bonus makes his contract go up in lockstep with that."